347431680 has 216 divisors, whose sum is σ = 1247714832. Its totient is φ = 92565504.

The previous prime is 347431673. The next prime is 347431697. The reversal of 347431680 is 86134743.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310482 + ... + 311598.

Almost surely, 2^347431680 is an apocalyptic number.

347431680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 347431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623857416).

347431680 is an abundant number, since it is smaller than the sum of its proper divisors (900283152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

347431680 is an equidigital number, since it uses as much as digits as its factorization.

347431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 347431680 is about 18639.5193071066. The cubic root of 347431680 is about 703.0018568343.

The spelling of 347431680 in words is "three hundred forty-seven million, four hundred thirty-one thousand, six hundred eighty".